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Secondary School (English Medium) (5 to 8) इयत्ता ७ - CBSE Question Bank Solutions for Mathematics

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You want to show that ΔART ≅ ΔPEN,

If it is given that ∠T = ∠N and you are to use SAS criterion, you need to have

1) RT = and

2) PN =

[7] Congruence of Triangles
Chapter: [7] Congruence of Triangles
Concept: undefined >> undefined

You want to show that ΔART ≅ ΔPEN,

If it is given that AT = PN and you are to use ASA criterion, you need to have

1) ?

2) ?

[7] Congruence of Triangles
Chapter: [7] Congruence of Triangles
Concept: undefined >> undefined

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You have to show that ΔAMP ≅ AMQ.

In the following proof, supply the missing reasons.

  Steps   Reasons
1 PM = QM 1 ...
2 ∠PMA = ∠QMA 2 ...
3 AM = AM 3 ...
4 ΔAMP ≅ ΔAMQ 4 ...

[7] Congruence of Triangles
Chapter: [7] Congruence of Triangles
Concept: undefined >> undefined

In ΔABC, ∠A = 30°, ∠B = 40° and ∠C = 110°

In ΔPQR, ∠P = 30°, ∠Q = 40° and ∠R = 110°

A student says that ΔABC ≅ ΔPQR by AAA congruence criterion. Is he justified? Why or why not?

[7] Congruence of Triangles
Chapter: [7] Congruence of Triangles
Concept: undefined >> undefined

In the figure, the two triangles are congruent.

The corresponding parts are marked. We can write ΔRAT ≅ ?

[7] Congruence of Triangles
Chapter: [7] Congruence of Triangles
Concept: undefined >> undefined

If ΔABC and ΔPQR are to be congruent, name one additional pair of corresponding parts. What criterion did you use?

[7] Congruence of Triangles
Chapter: [7] Congruence of Triangles
Concept: undefined >> undefined

Explain, why ΔABC ≅ ΔFED.

[7] Congruence of Triangles
Chapter: [7] Congruence of Triangles
Concept: undefined >> undefined

Simplify combining like terms: 21b − 32 + 7b − 20b

[10] Algebraic Expressions
Chapter: [10] Algebraic Expressions
Concept: undefined >> undefined

Simplify combining like terms: - z2 + 13z2 − 5z + 7z3 − 15z

[10] Algebraic Expressions
Chapter: [10] Algebraic Expressions
Concept: undefined >> undefined

Simplify combining like terms: p − (p − q) − q − (− p)

[10] Algebraic Expressions
Chapter: [10] Algebraic Expressions
Concept: undefined >> undefined

Simplify combining like terms: 3a - 2b - ab - (a - b + ab) + 3ab + b - a

 

[10] Algebraic Expressions
Chapter: [10] Algebraic Expressions
Concept: undefined >> undefined

Simplify combining like terms: 5x2y − 5x2 + 3y x2 − 3y2 + x2 − y2 + 8xy2 −3y2

[10] Algebraic Expressions
Chapter: [10] Algebraic Expressions
Concept: undefined >> undefined

Simplify combining like terms: (3y2 + 5y - 4) - (8y - y2 - 4)

[10] Algebraic Expressions
Chapter: [10] Algebraic Expressions
Concept: undefined >> undefined

Add: 3mn, − 5mn, 8mn, −4mn

[10] Algebraic Expressions
Chapter: [10] Algebraic Expressions
Concept: undefined >> undefined

Add: t - 8tz, 3tz - z, z - t

[10] Algebraic Expressions
Chapter: [10] Algebraic Expressions
Concept: undefined >> undefined

Add: -7mn + 5, 12mn + 2, 9mn - 8, -2mn - 3

[10] Algebraic Expressions
Chapter: [10] Algebraic Expressions
Concept: undefined >> undefined

Add: a + b - 3, b - a + 3, a - b + 3

[10] Algebraic Expressions
Chapter: [10] Algebraic Expressions
Concept: undefined >> undefined

Add: 14x + 10y - 12xy - 13, 18 - 7x - 10y + 8xy, 4xy

[10] Algebraic Expressions
Chapter: [10] Algebraic Expressions
Concept: undefined >> undefined

Add: 5m - 7n, 3n - 4m + 2, 2m - 3mn - 5

[10] Algebraic Expressions
Chapter: [10] Algebraic Expressions
Concept: undefined >> undefined

Add: 4x2y, - 3xy2, - 5xy2, 5x2y

[10] Algebraic Expressions
Chapter: [10] Algebraic Expressions
Concept: undefined >> undefined
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